Delineation of first-order closures for plastic properties requiring explicit consideration of strain hardening and crystallographic texture evolution
Delineation of first-order closures for plastic properties requiring explicit consideration of strain hardening and crystallographic texture evolution
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描述需要明确考虑应变硬化和晶体织构演化的塑性特性的一阶闭包
DOI：
10.1016/j.ijplas.2007.05.002
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发表时间：
2008
影响因子：
9.8
通讯作者：
R. Mishra
中科院分区：
文献类型：
--
作者：
M. Knezevic;S. Kalidindi;R. Mishra
微结构敏感设计（MSD）是一种新的数学框架，促进材料的微结构和其有效性能的统计描述之间的可逆联系的发展。属性闭包是MSD方法的一个重要成果，并在给定的材料系统中为选定的均匀化理论描绘了一套完整的理论上可行的有效（均匀化）各向异性属性组合。在最近的出版物中，我们报道了立方和六方多晶材料的弹性和屈服性质的一阶闭合。在本文中，我们提出了主要的扩展到以前报道的框架，使严格考虑应变硬化和随之而来的演变的晶体织构与施加塑性应变。这些新的扩展有助于描绘与有限塑性应变（例如，极限拉伸强度，均匀延展性）相关的属性的一阶闭合。所提出的方法已成功地应用于铝合金和铜合金，本文的结果和讨论。
Microstructure Sensitive Design (MSD) is a novel mathematical framework that facilitates development of invertible linkages between statistical description of the material’s microstructure and its effective properties. Property closures are an important outcome of the MSD methodology, and delineate the complete set of theoretically feasible effective (homogenized) anisotropic property combinations in a given material system for a selected homogenization theory. In recent publications, we have reported first-order closures for the elastic and yield properties of both cubic and hexagonal polycrystalline materials. In this paper, we present major extensions to the previously reported framework to enable rigorous consideration of strain hardening and the concomitant evolution of the crystallographic texture with imposed plastic strain. These new extensions facilitate delineation of first-order closures for properties associated with finite plastic strains (e.g. ultimate tensile strength, uniform ductility). The proposed approach has been successfully applied to an aluminum alloy and a copper alloy, and the results are presented and discussed in this paper.